Math Olympiad Questions for Class 9

You've got to work smarter than complex to win the Indian Maths Olympiad. Take a look at these tips to help you prepare better. Even though these tips are helpful, they cannot replace practice, which is more important.

Syllabus knowledge - Even though the importance of each topic might seem obvious, failing to understand it can be devastating. It's important to schedule time for your most important and least essential topics in maths olympiad class 9.

Identify the level - It's not a standard school test, and theory and practice go hand in hand to gain a deeper understanding of each concept. Check out maths olympiad questions for class 9 pdf to gain a better experience.

Visit the Olympiad website - Check the website and know the deadline if it's your first time participating in the Maths Olympiad.

You Can Use The Internet - You can find helpful information on Youtube videos and practice IMO sample paper class 9 on multiple platforms when you use the internet well. You can save a lot of time when solving complicated maths problems with the right information or techniques.

Syllabus for Math Olympiad Exams

These are the chapters covered in most of the Math Olympiad Exams.

Number Systems

The term number system includes all the numbers. Whether you talk about natural numbers, whole numbers, integers, rational, irrational numbers, etc., these are the different types of numbers you will see.

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The term polynomial consists of one variable polynomial and two-variable polynomials. There are also coefficients of polynomials that will help solve the questions of the polynomials. Well, the polynomial is also divided into various parts.

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Coordinate Geometry

The coordinate geometry means to get the solution by using the algebraic methods. Two lines are present in the graph,i.e., vertical and horizontal. These two lines help in representing the x-axis and y-axis. The X-axis is presented on the horizontal line, whereas the Y-axis is presented vertically. There is a point O on which both lines will intersect.

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Linear Equations in Two Variables

The linear equations are always presented in the form.

Such a form consists of the variables, i.e., ax + by + c = 0. The linear equations are always presented in the straight-line form. In the ax + by + c = 0, a, b, & c are the form of real numbers. And in it, a & b will never equal zero.

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Introduction to Euclid’s Geometry

The term geometry is a word that comes from the two Greek words, i.e., geo and metron. The geo refers to the earth & metron refers to measure. It is a term that includes different concepts.

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Lines and Angles

The lines and angles are two different terms. The term line refers to a straight part of a line. At the same time, an angle refers to the sequence between two lines.

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The figure that is enclosed from three sides is known as a triangle. Many properties are present that help show the congruence of triangles, like SAS, SSS, ASA, AAS, and many other terms.

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The term quadrilateral refers to a figure enclosed by the four sides that are not equal. And the sum of all angles of a quadrilateral is always equal to 360 degrees.

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Areas of Parallelograms and Triangles

A parallelogram is an enclosed figure with four sides. The parallelogram is a figure whose opposite sides are equal.

A triangle is a figure enclosed from three sides and comes with different properties that help show the congruence of triangles, like SAS, SSS, ASA, AAS, and many other terms.

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The term circle refers to a closed figure that consists of diameter and radius. The diameter is the full line that passed from the circle. At the same time, the radius is half of the diameter. Many components of circles are present that make the complete circle. The area of the circle is πr2.

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Construction is a term that needs the exact measurements of the figures. Whether we talk about the angles, line segment, circles, and other things, all must be available at the proper measurement.

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Heron’s Formula

The figure that is enclosed from three sides is known as a triangle.

Generally, the triangle has each thing equal to three, i.e., three sides, three vertices, and three angles.

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Surface Areas and Volumes

The surface areas and volumes are always considered for the 2D and 3D figures. The area is known as the inner part of a figure. At the same time, the volume is known as the exact quantity present in the figure.

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The term statistics includes the various sets of things like the primary data, secondary data, raw data, range, and many other items. Some of these terms consist of frequency. With the help of frequency, we can see how many times the data appears.

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The probability is the measurement of the certainty of degree with respect to the event. And the operation with the help of which the set outcomes produce is called the term experiment. For the term probability there is a specific formula,i.e., favourable events/ total events. We have to apply this formula in order to get the probability. And the trial term refers to the event of one number.

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Free Sample Questions for

Question 1

Let d be the number of dollars you spent on gas and let g be the number of gallons you purchased. Which expression represents the price you paid per gallon?
A. d + g
B. g/d
C. dg
D. d/g

Question 2

A. -2x^3+2x^2+2y
B. 3x^3+9x^2-2y
C. 3x^3-9x^2+2y
D. -2x^3-2y

Question 3

Determine the midpoint of the points (2, 5) and (4, 1).
A. (0, 0)
B. (3, 3)
C. (3, 2)
D. (-1, 2)

Question 4

Range refers to the x-coordinate values.
A. True
B. False

Question 5

Jorel has a sister that is 5 years younger than three times his age. Write a function that represents this situation.
A. f(x) = 5-3x
B. f(x) = 5-3
C. f(x) = 5x-3
D. f(x) = 3x-5

Question 6

Which expression represents 18 less than X?
A. 18-X
B. 18 (X)
C. 18 -: X
D. X-18

Question 7

Presently, in the local American Legion, there are 240 members. The military membership INCREASES by 5% each year. How many members will there be in 4 years?Use one of these formulas: y = C(1 + r)^t or y = C(1 - r)^t
A. 278
B. 292
C. 810
D. 1,215

Question 8

Jasmine is part of a bowling league and wants to beat the team record of an average score of 240 out of 300 possible points per game. Her scores for the first five games are 252, 227, 210, 198, 242. What must Jasmine score in her sixth game to beat the team record for average points per game?
A. 228
B. 238
C. 242
D. 273

Question 9

Which function has a y-intercept of 4?
A. y = 2x^2 + 1
B. y = 2x^2 + 4x
C. y = 2x^2 - 4
D. y = 2x^2 + 4

Question 10

What is the slope of a line that is perpendicular to y = 3x + 1?
A. -1/3
B. 3
C. 1/3
D. -3